TSTP Solution File: GRP519-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP519-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:23:24 EDT 2022
% Result : Unsatisfiable 184.11s 184.36s
% Output : Refutation 184.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
input ).
cnf(transitivity,axiom,
( X7 != X8
| X8 != X6
| X7 = X6 ),
eq_axiom ).
cnf(symmetry,axiom,
( X3 != X4
| X4 = X3 ),
eq_axiom ).
cnf(single_axiom,axiom,
multiply(X13,multiply(multiply(inverse(multiply(X13,X12)),X11),X12)) = X11,
input ).
cnf(c4,plain,
( X32 != multiply(X35,multiply(multiply(inverse(multiply(X35,X33)),X34),X33))
| X32 = X34 ),
inference(resolution,status(thm),[single_axiom,transitivity]) ).
cnf(reflexivity,axiom,
X2 = X2,
eq_axiom ).
cnf(c0,plain,
( X17 != X19
| X18 != X20
| multiply(X17,X18) = multiply(X19,X20) ),
eq_axiom ).
cnf(c8,plain,
( X22 != X21
| multiply(X22,X23) = multiply(X21,X23) ),
inference(resolution,status(thm),[c0,reflexivity]) ).
cnf(c11,plain,
multiply(multiply(X67,multiply(multiply(inverse(multiply(X67,X65)),X66),X65)),X64) = multiply(X66,X64),
inference(resolution,status(thm),[c8,single_axiom]) ).
cnf(c43,plain,
( X403 != X405
| multiply(X403,multiply(multiply(X404,multiply(multiply(inverse(multiply(X404,X402)),X406),X402)),X407)) = multiply(X405,multiply(X406,X407)) ),
inference(resolution,status(thm),[c11,c0]) ).
cnf(c580,plain,
multiply(X410,multiply(multiply(X411,multiply(multiply(inverse(multiply(X411,X412)),X409),X412)),X408)) = multiply(X410,multiply(X409,X408)),
inference(resolution,status(thm),[c43,reflexivity]) ).
cnf(c620,plain,
multiply(X413,multiply(X417,X415)) = multiply(X413,multiply(multiply(X414,multiply(multiply(inverse(multiply(X414,X416)),X417),X416)),X415)),
inference(resolution,status(thm),[c580,symmetry]) ).
cnf(c631,plain,
multiply(X418,multiply(X421,X420)) = multiply(multiply(inverse(multiply(inverse(multiply(X418,X420)),X419)),X421),X419),
inference(resolution,status(thm),[c620,c4]) ).
cnf(c651,plain,
multiply(multiply(inverse(multiply(inverse(multiply(X424,X423)),X425)),X422),X425) = multiply(X424,multiply(X422,X423)),
inference(resolution,status(thm),[c631,symmetry]) ).
cnf(c657,plain,
( X492 != multiply(multiply(inverse(multiply(inverse(multiply(X491,X495)),X494)),X493),X494)
| X492 = multiply(X491,multiply(X493,X495)) ),
inference(resolution,status(thm),[c651,transitivity]) ).
cnf(c1,plain,
( X14 != X15
| inverse(X14) = inverse(X15) ),
eq_axiom ).
cnf(c7,plain,
inverse(multiply(X42,multiply(multiply(inverse(multiply(X42,X40)),X41),X40))) = inverse(X41),
inference(resolution,status(thm),[c1,single_axiom]) ).
cnf(c20,plain,
multiply(inverse(multiply(X130,multiply(multiply(inverse(multiply(X130,X127)),X128),X127))),X129) = multiply(inverse(X128),X129),
inference(resolution,status(thm),[c7,c8]) ).
cnf(c119,plain,
( X536 != multiply(inverse(multiply(X535,multiply(multiply(inverse(multiply(X535,X533)),X537),X533))),X534)
| X536 = multiply(inverse(X537),X534) ),
inference(resolution,status(thm),[c20,transitivity]) ).
cnf(c9,plain,
( X59 != X61
| multiply(X59,multiply(X62,multiply(multiply(inverse(multiply(X62,X63)),X60),X63))) = multiply(X61,X60) ),
inference(resolution,status(thm),[c0,single_axiom]) ).
cnf(c36,plain,
multiply(X73,multiply(X75,multiply(multiply(inverse(multiply(X75,X72)),X74),X72))) = multiply(X73,X74),
inference(resolution,status(thm),[c9,reflexivity]) ).
cnf(c59,plain,
( X564 != X567
| multiply(X564,multiply(X566,multiply(X568,multiply(multiply(inverse(multiply(X568,X565)),X569),X565)))) = multiply(X567,multiply(X566,X569)) ),
inference(resolution,status(thm),[c36,c0]) ).
cnf(c1002,plain,
multiply(X574,multiply(X575,multiply(X578,multiply(multiply(inverse(multiply(X578,X576)),X577),X576)))) = multiply(X574,multiply(X575,X577)),
inference(resolution,status(thm),[c59,reflexivity]) ).
cnf(c1045,plain,
( X1484 != multiply(X1483,multiply(X1486,multiply(X1482,multiply(multiply(inverse(multiply(X1482,X1487)),X1485),X1487))))
| X1484 = multiply(X1483,multiply(X1486,X1485)) ),
inference(resolution,status(thm),[c1002,transitivity]) ).
cnf(c644,plain,
( X2227 != X2228
| multiply(X2227,multiply(X2231,multiply(X2229,X2230))) = multiply(X2228,multiply(multiply(inverse(multiply(inverse(multiply(X2231,X2230)),X2232)),X2229),X2232)) ),
inference(resolution,status(thm),[c631,c0]) ).
cnf(c7106,plain,
multiply(X2233,multiply(X2237,multiply(X2234,X2235))) = multiply(X2233,multiply(multiply(inverse(multiply(inverse(multiply(X2237,X2235)),X2236)),X2234),X2236)),
inference(resolution,status(thm),[c644,reflexivity]) ).
cnf(c7264,plain,
multiply(inverse(multiply(X2239,X2238)),multiply(X2239,multiply(X2240,X2238))) = X2240,
inference(resolution,status(thm),[c7106,c4]) ).
cnf(c7339,plain,
X2241 = multiply(inverse(multiply(X2242,X2243)),multiply(X2242,multiply(X2241,X2243))),
inference(resolution,status(thm),[c7264,symmetry]) ).
cnf(c7358,plain,
X2334 = multiply(inverse(multiply(X2335,multiply(multiply(inverse(multiply(X2334,X2337)),X2336),X2337))),multiply(X2335,X2336)),
inference(resolution,status(thm),[c7339,c1045]) ).
cnf(c7940,plain,
X2345 = multiply(inverse(X2344),multiply(X2345,X2344)),
inference(resolution,status(thm),[c7358,c119]) ).
cnf(c8015,plain,
multiply(inverse(multiply(inverse(X2351),X2351)),X2352) = X2352,
inference(resolution,status(thm),[c7940,c4]) ).
cnf(c8155,plain,
X2359 = multiply(inverse(multiply(inverse(X2360),X2360)),X2359),
inference(resolution,status(thm),[c8015,symmetry]) ).
cnf(c8023,plain,
multiply(inverse(X2347),multiply(X2348,X2347)) = X2348,
inference(resolution,status(thm),[c7940,symmetry]) ).
cnf(c8046,plain,
( X2381 != multiply(inverse(X2383),multiply(X2382,X2383))
| X2381 = X2382 ),
inference(resolution,status(thm),[c8023,transitivity]) ).
cnf(c8542,plain,
multiply(X2392,multiply(inverse(X2393),X2393)) = X2392,
inference(resolution,status(thm),[c8046,c8155]) ).
cnf(c8712,plain,
X2396 = multiply(X2396,multiply(inverse(X2397),X2397)),
inference(resolution,status(thm),[c8542,symmetry]) ).
cnf(c8722,plain,
inverse(X2444) = inverse(multiply(X2444,multiply(inverse(X2445),X2445))),
inference(resolution,status(thm),[c8712,c1]) ).
cnf(c9101,plain,
inverse(inverse(X2854)) = inverse(inverse(multiply(X2854,multiply(inverse(X2855),X2855)))),
inference(resolution,status(thm),[c8722,c1]) ).
cnf(c7298,plain,
( X2260 != multiply(inverse(multiply(X2262,X2263)),multiply(X2262,multiply(X2261,X2263)))
| X2260 = X2261 ),
inference(resolution,status(thm),[c7264,transitivity]) ).
cnf(c8746,plain,
inverse(multiply(inverse(multiply(X2409,X2410)),X2410)) = X2409,
inference(resolution,status(thm),[c8712,c7298]) ).
cnf(c8821,plain,
( X2531 != inverse(multiply(inverse(multiply(X2533,X2532)),X2532))
| X2531 = X2533 ),
inference(resolution,status(thm),[c8746,transitivity]) ).
cnf(c10463,plain,
inverse(inverse(multiply(X2545,multiply(inverse(X2546),X2546)))) = X2545,
inference(resolution,status(thm),[c8821,c8722]) ).
cnf(c10536,plain,
( X3043 != inverse(inverse(multiply(X3045,multiply(inverse(X3044),X3044))))
| X3043 = X3045 ),
inference(resolution,status(thm),[c10463,transitivity]) ).
cnf(c14692,plain,
inverse(inverse(X3053)) = X3053,
inference(resolution,status(thm),[c10536,c9101]) ).
cnf(c15056,plain,
( X3064 != inverse(inverse(X3065))
| X3064 = X3065 ),
inference(resolution,status(thm),[c14692,transitivity]) ).
cnf(c8866,plain,
X2411 = inverse(multiply(inverse(multiply(X2411,X2412)),X2412)),
inference(resolution,status(thm),[c8746,symmetry]) ).
cnf(c8873,plain,
inverse(X2551) = inverse(inverse(multiply(inverse(multiply(X2551,X2552)),X2552))),
inference(resolution,status(thm),[c8866,c1]) ).
cnf(c15179,plain,
inverse(X3119) = multiply(inverse(multiply(X3119,X3120)),X3120),
inference(resolution,status(thm),[c15056,c8873]) ).
cnf(c16071,plain,
multiply(inverse(multiply(X3140,X3141)),X3141) = inverse(X3140),
inference(resolution,status(thm),[c15179,symmetry]) ).
cnf(c16334,plain,
multiply(inverse(multiply(inverse(X3173),X3174)),X3174) = X3173,
inference(resolution,status(thm),[c16071,c15056]) ).
cnf(c16687,plain,
X3187 = multiply(inverse(multiply(inverse(X3187),X3188)),X3188),
inference(resolution,status(thm),[c16334,symmetry]) ).
cnf(c16789,plain,
multiply(X8000,X8001) = multiply(multiply(inverse(multiply(inverse(X8000),X8002)),X8002),X8001),
inference(resolution,status(thm),[c16687,c8]) ).
cnf(c81718,plain,
multiply(multiply(X8003,X8004),X8005) = multiply(X8003,multiply(X8005,X8004)),
inference(resolution,status(thm),[c16789,c657]) ).
cnf(c16098,plain,
multiply(inverse(X7739),X7741) = multiply(multiply(inverse(multiply(X7739,X7740)),X7740),X7741),
inference(resolution,status(thm),[c15179,c8]) ).
cnf(c15004,plain,
X3054 = inverse(inverse(X3054)),
inference(resolution,status(thm),[c14692,symmetry]) ).
cnf(c15100,plain,
multiply(X3104,X3105) = multiply(inverse(inverse(X3104)),X3105),
inference(resolution,status(thm),[c15004,c8]) ).
cnf(c15888,plain,
multiply(X3107,multiply(X3106,inverse(X3107))) = X3106,
inference(resolution,status(thm),[c15100,c8046]) ).
cnf(c15941,plain,
X3108 = multiply(X3109,multiply(X3108,inverse(X3109))),
inference(resolution,status(thm),[c15888,symmetry]) ).
cnf(c16035,plain,
multiply(inverse(multiply(X3138,inverse(X3138))),X3139) = X3139,
inference(resolution,status(thm),[c15941,c4]) ).
cnf(c16244,plain,
X3154 = multiply(inverse(multiply(X3155,inverse(X3155))),X3154),
inference(resolution,status(thm),[c16035,symmetry]) ).
cnf(c16431,plain,
multiply(X3159,multiply(X3158,inverse(X3158))) = X3159,
inference(resolution,status(thm),[c16244,c8046]) ).
cnf(c16535,plain,
( X3474 != multiply(X3476,multiply(X3475,inverse(X3475)))
| X3474 = X3476 ),
inference(resolution,status(thm),[c16431,transitivity]) ).
cnf(c81753,plain,
multiply(multiply(X8015,inverse(X8014)),X8014) = X8015,
inference(resolution,status(thm),[c81718,c16535]) ).
cnf(c82074,plain,
( X8113 != multiply(multiply(X8114,inverse(X8115)),X8115)
| X8113 = X8114 ),
inference(resolution,status(thm),[c81753,transitivity]) ).
cnf(c83568,plain,
multiply(inverse(X8499),X8498) = inverse(multiply(X8499,inverse(X8498))),
inference(resolution,status(thm),[c82074,c16098]) ).
cnf(c7989,plain,
multiply(X2473,X2474) = multiply(multiply(inverse(X2475),multiply(X2473,X2475)),X2474),
inference(resolution,status(thm),[c7940,c8]) ).
cnf(c8667,plain,
( X2428 != multiply(X2430,multiply(inverse(X2429),X2429))
| X2428 = X2430 ),
inference(resolution,status(thm),[c8542,transitivity]) ).
cnf(c81818,plain,
multiply(multiply(X8020,X8021),inverse(X8021)) = X8020,
inference(resolution,status(thm),[c81718,c8667]) ).
cnf(c82219,plain,
( X8205 != multiply(multiply(X8207,X8206),inverse(X8206))
| X8205 = X8207 ),
inference(resolution,status(thm),[c81818,transitivity]) ).
cnf(c85172,plain,
multiply(X8278,inverse(multiply(X8278,X8277))) = inverse(X8277),
inference(resolution,status(thm),[c82219,c7989]) ).
cnf(c85869,plain,
inverse(multiply(X9247,inverse(multiply(X9247,X9248)))) = inverse(inverse(X9248)),
inference(resolution,status(thm),[c85172,c1]) ).
cnf(c103621,plain,
inverse(multiply(X9249,inverse(multiply(X9249,X9250)))) = X9250,
inference(resolution,status(thm),[c85869,c15056]) ).
cnf(c103794,plain,
( X10132 != inverse(multiply(X10133,inverse(multiply(X10133,X10134))))
| X10132 = X10134 ),
inference(resolution,status(thm),[c103621,transitivity]) ).
cnf(c122638,plain,
multiply(inverse(X10155),multiply(X10155,X10156)) = X10156,
inference(resolution,status(thm),[c103794,c83568]) ).
cnf(c124162,plain,
( X10265 != multiply(inverse(X10266),multiply(X10266,X10267))
| X10265 = X10267 ),
inference(resolution,status(thm),[c122638,transitivity]) ).
cnf(c126211,plain,
multiply(multiply(inverse(X10352),X10353),X10352) = X10353,
inference(resolution,status(thm),[c124162,c81718]) ).
cnf(c127230,plain,
( X10904 != multiply(multiply(inverse(X10905),X10906),X10905)
| X10904 = X10906 ),
inference(resolution,status(thm),[c126211,transitivity]) ).
cnf(c124060,plain,
X10170 = multiply(inverse(X10171),multiply(X10171,X10170)),
inference(resolution,status(thm),[c122638,symmetry]) ).
cnf(c124561,plain,
multiply(X12034,X12036) = multiply(multiply(inverse(X12035),multiply(X12035,X12034)),X12036),
inference(resolution,status(thm),[c124060,c8]) ).
cnf(c156376,plain,
multiply(X12038,X12037) = multiply(X12037,X12038),
inference(resolution,status(thm),[c124561,c127230]) ).
cnf(c156595,plain,
( X12177 != multiply(X12178,X12179)
| X12177 = multiply(X12179,X12178) ),
inference(resolution,status(thm),[c156376,transitivity]) ).
cnf(c8197,plain,
multiply(X2607,X2608) = multiply(multiply(inverse(multiply(inverse(X2609),X2609)),X2607),X2608),
inference(resolution,status(thm),[c8155,c8]) ).
cnf(c11107,plain,
multiply(X2619,multiply(X2618,X2620)) = multiply(X2618,multiply(X2619,X2620)),
inference(resolution,status(thm),[c8197,c657]) ).
cnf(c11228,plain,
( X5853 != multiply(X5855,multiply(X5856,X5854))
| X5853 = multiply(X5856,multiply(X5855,X5854)) ),
inference(resolution,status(thm),[c11107,transitivity]) ).
cnf(c156591,plain,
multiply(multiply(X12421,X12422),X12423) = multiply(multiply(X12422,X12421),X12423),
inference(resolution,status(thm),[c156376,c8]) ).
cnf(c164768,plain,
multiply(multiply(X12871,X12872),X12873) = multiply(X12873,multiply(X12872,X12871)),
inference(resolution,status(thm),[c156591,c156595]) ).
cnf(c168254,plain,
multiply(multiply(X13116,X13114),X13115) = multiply(X13114,multiply(X13115,X13116)),
inference(resolution,status(thm),[c164768,c11228]) ).
cnf(c171901,plain,
multiply(multiply(X13241,X13242),X13240) = multiply(multiply(X13240,X13241),X13242),
inference(resolution,status(thm),[c168254,c156595]) ).
cnf(c172955,plain,
multiply(multiply(X13331,X13332),X13330) = multiply(multiply(X13332,X13330),X13331),
inference(resolution,status(thm),[c171901,symmetry]) ).
cnf(c173901,plain,
multiply(multiply(X13430,X13429),X13431) = multiply(X13430,multiply(X13429,X13431)),
inference(resolution,status(thm),[c172955,c156595]) ).
cnf(c176400,plain,
$false,
inference(resolution,status(thm),[c173901,prove_these_axioms_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP519-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 06:00:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 184.11/184.36 # Version: 1.3
% 184.11/184.36 # SZS status Unsatisfiable
% 184.11/184.36 # SZS output start CNFRefutation
% See solution above
% 184.11/184.37
% 184.11/184.37 # Initial clauses : 7
% 184.11/184.37 # Processed clauses : 1531
% 184.11/184.37 # Factors computed : 0
% 184.11/184.37 # Resolvents computed: 176543
% 184.11/184.37 # Tautologies deleted: 1
% 184.11/184.37 # Forward subsumed : 2922
% 184.11/184.37 # Backward subsumed : 10
% 184.11/184.37 # -------- CPU Time ---------
% 184.11/184.37 # User time : 183.499 s
% 184.11/184.37 # System time : 0.488 s
% 184.11/184.37 # Total time : 183.987 s
%------------------------------------------------------------------------------